1072824516 has 81 divisors (see below), whose sum is σ = 2791090029. Its totient is φ = 347454432.

The previous prime is 1072824497. The next prime is 1072824517. The reversal of 1072824516 is 6154282701.

The square root of 1072824516 is 32754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 773396100 + 299428416 = 27810^2 + 17304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1072824517) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10415721 + ... + 10415823.

Almost surely, 2^1072824516 is an apocalyptic number.

1072824516 is the 32754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072824516

1072824516 is an abundant number, since it is smaller than the sum of its proper divisors (1718265513).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072824516 is a wasteful number, since it uses less digits than its factorization.

1072824516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 1072824516 is about 1023.7083125605.

Multiplying 1072824516 by its sum of digits (36), we get a square (38621682576 = 196524²).

1072824516 divided by its sum of digits (36) gives a square (29800681 = 5459²).

The spelling of 1072824516 in words is "one billion, seventy-two million, eight hundred twenty-four thousand, five hundred sixteen".